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A188561 Number of nX3 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally 1

%I #5 Mar 31 2012 12:36:12

%S 7,49,247,1383,7722,42712,237116,1315783,7300042,40505756,224748056,

%T 1247024929,6919195733,38391539384,213017628693,1181940415631,

%U 6558063227535,36387785244039,201899687047572,1120251845376251

%N Number of nX3 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally

%C Column 3 of A188567

%H R. H. Hardin, <a href="/A188561/b188561.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+11*a(n-2)+60*a(n-3)+89*a(n-4)+107*a(n-5)-75*a(n-6)-50*a(n-7)-157*a(n-8)+184*a(n-9)-91*a(n-10)+86*a(n-11)-35*a(n-12)+13*a(n-13)-14*a(n-14)+4*a(n-15)

%e Some solutions for 4X3

%e ..0..0..0....0..1..0....0..0..0....0..0..0....0..0..0....0..1..1....1..0..0

%e ..0..1..0....0..1..0....0..1..1....1..1..0....1..1..0....1..1..0....0..1..1

%e ..1..1..0....1..0..1....1..0..1....0..0..1....0..1..1....0..0..1....1..1..0

%e ..0..0..1....0..0..1....0..0..0....1..1..0....1..0..0....0..0..1....1..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 04 2011

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